8.3.a: Identifying Slope

Front

What is slope in the context of a graph?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Tags

CCSS.8.EE.B.5

Front

How is slope calculated using two points (x1, y1) and (x2, y2)?

Back

Slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

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CCSS.8.EE.B.5

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

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CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating no vertical change as the x-value changes.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it represents a division by zero in the slope formula.

Tags

CCSS.8.EE.B.5

Front

What are the units of slope when measuring tickets sold over time?

Back

The units of slope in this context would be expressed as 'tickets per time unit', such as 'tickets per hour'.

Tags

CCSS.8.EE.B.5

Front

If a line has a slope of -1, what does this imply about the relationship between x and y?

Back

A slope of -1 implies that for every unit increase in x, y decreases by 1 unit, indicating a direct inverse relationship.

Tags

CCSS.8.EE.B.5

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change, such as speed, cost per item, or growth rates, making it essential for interpreting data in various fields.

Tags

CCSS.8.EE.B.5

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, find the vertical and horizontal distances between them, and divide the vertical distance by the horizontal distance.

Tags

CCSS.8.EE.B.5